Modular Representations and Branching Rules for Wreath Hecke Algebras

DOI10.1093/imrn/rnn128zbMath1160.20005arXiv0806.0196OpenAlexW2962980169MaRDI QIDQ5302870

Weiqiang Wang, Jinkui Wan

Publication date: 15 January 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0196

zbMATH Keywords

simple modulesquantum affine algebrasdegenerate affine Hecke algebrasmodular branching rulescyclotomic algebraswreath Hecke algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08)

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Affine wreath product algebras with trace maps of generic parity ⋮ Jucys-Murphy elements and Grothendieck groups for generalized rook monoids ⋮ Quantum affine wreath algebras ⋮ Modular representation theory of affine and cyclotomic Yokonuma-Hecke algebras ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Heisenberg categorification and Hilbert schemes ⋮ Wreath Hecke algebras and centralizer construction for wreath products.